Fully three dimensional breather solitons can be created using Feshbach resonance

TL;DR

This paper demonstrates the creation and stability analysis of fully three-dimensional breather solitons in Bose-Einstein Condensates using Feshbach resonance management within a one-dimensional optical lattice, revealing new stable regions.

Contribution

It introduces a new stable island of 3D breather solitons in BECs, not predicted by quasi-2D models, and proposes experimental methods for their realization.

Findings

Discovery of a new stability island for 3D solitons

Validation of 3D breather solutions through numerical simulations

Potential experimental pathways for creating robust 3D solitons

Abstract

We investigate the stability properties of breather solitons in a three-dimensional Bose-Einstein Condensate with Feshbach Resonance Management of the scattering length and con ned only by a one dimensional optical lattice. We compare regions of stability in parameter space obtained from a fully 3D analysis with those from a quasi two-dimensional treatment. For moderate con nement we discover a new island of stability in the 3D case, not present in the quasi 2D treatment. Stable solutions from this region have nontrivial dynamics in the lattice direction, hence they describe fully 3D breather solitons. We demonstrate these solutions in direct numerical simulations and outline a possible way of creating robust 3D solitons in experiments in a Bose Einstein Condensate in a one-dimensional lattice. We point other possible applications.